Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28548b |
Isogeny class |
Conductor |
28548 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-271662768 = -1 · 24 · 33 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,665] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
322486272/628849 |
j-invariant |
L |
6.6716426469994 |
L(r)(E,1)/r! |
Ω |
1.2008279712289 |
Real period |
R |
0.92597813159596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192bg1 28548a1 |
Quadratic twists by: -4 -3 |